Introduction to analytic and probabilistic number theory /
Main Authors: | , |
---|---|
Other Authors: | |
Format: | Book |
Language: | English French |
Published: |
Providence, Rhode Island :
American Mathematical Society,
2015
Providence, Rhode Island : [2015] |
Edition: | Third edition |
Series: | Graduate studies in mathematics ;
v. 163 Graduate studies in mathematics v. 163 |
Subjects: |
Number theory
> Diophantine approximation, transcendental number theory
> Diophantine approximation, transcendental number theory
Number theory
> Probabilistic theory: distribution modulo $1$; metric theory of algorithms
> Probabilistic theory: distribution modulo $1$; metric theory of algorithms
Number theory
> Diophantine approximation, transcendental number theory
> Diophantine approximation, transcendental number theory
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100 | 1 | |a Tenenbaum, Gerald |e author |0 http://viaf.org/viaf/68970465 | |
100 | 1 | |a Tenenbaum, Gerald |e author | |
100 | 1 | |a Tenenbaum, Gerald | |
100 | 1 | |a Tenenbaum, Gerald, |e author |4 http://id.loc.gov/vocabulary/relators/aut | |
100 | 1 | |a Tenenbaum, Gerald, |e author | |
100 | 1 | |a Tenenbaum, Gérald |1 http://viaf.org/viaf/68970465 | |
100 | 1 | |a Tenenbaum, Gérald | |
240 | 1 | 0 | |a Introduction à la theórie analytique et probabiliste des nombres |l English |
240 | 1 | 0 | |a Introduction à la theórie analytique et probabiliste des nombres |l English. |
240 | 1 | 0 | |a Introduction à la theórie analytique et probabiliste des nombres |l English |
240 | 1 | 0 | |a Introduction à la theórie analytique et probabiliste des nombres |l English. |
245 | 1 | 0 | |a Introduction to analytic and probabilistic number theory / |c Gérald Tenenbaum ; translated by Patrick D.F. Ion |
250 | |a Third edition | ||
264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2015 | |
264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c [2015] | |
264 | 4 | |c ©2015 | |
300 | |a xxiv, 629 pages : |b illustrations ; |c 26 cm | ||
300 | |a xxiv, 629 pages : |b illustrations ; |c 27 cm | ||
300 | |a xxiv, 629 pages ; |c 26 cm | ||
300 | |a xxiv, 629 pages ; |c 27 cm | ||
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338 | |a volume |2 rdacarrier | ||
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490 | 1 | |a Graduate studies in mathematics ; |v volume 163 | |
490 | 1 | |a Graduate studies in mathematics, |x 1065-7339 ; |v volume 163 | |
500 | |a This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |5 CTY | ||
504 | |a Includes bibliographical references (pages 591-615) and index | ||
504 | |a Includes bibliographical references and index | ||
505 | 0 | |a Part I. Elementary methods ; Prime numbers ; Arithmetic functions ; Average orders ; Sieve methods ; Extremal orders ; The method of van der Corput ; Diophantine approximation -- Part II. Complex analysis methods ; The Euler Gamma function ; Generating functions: Dirichlet series ; Summation formulae ; The Riemann zeta function ; The prime number theorem and the Riemann hypothesis ; The Selberg-Delange method ; Two arithmetic applications ; Tauberian theorems ; Primes in arithmetic progressions -- Part III. Probabilistic methods ; Densities ; Limiting distributions of arithmetic functions ; Normal order ; Distribution of addictive functions ; Friable integers. The saddle-point method ; Integers free of small prime factors | |
546 | |a English, translated from the French | ||
546 | |a Translated from the French | ||
590 | |a OCLC |b WorldCat Holdings | ||
596 | |a 4 | ||
650 | 0 | |a Number theory | |
650 | 0 | |a Probabilistic number theory | |
650 | 7 | |a Number theory -- Diophantine approximation, transcendental number theory -- Diophantine approximation, transcendental number theory |2 msc | |
650 | 7 | |a Number theory -- Elementary number theory -- Elementary number theory |2 msc | |
650 | 7 | |a Number theory -- Exponential sums and character sums -- Exponential sums and character sums |2 msc | |
650 | 7 | |a Number theory -- Multiplicative number theory -- Multiplicative number theory |2 msc | |
650 | 7 | |a Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms |2 msc | |
650 | 7 | |a Number theory -- Research exposition (monographs, survey articles) |2 msc | |
650 | 7 | |a Number theory -- Zeta and $L$-functions: analytic theory -- Zeta and $L$-functions: analytic theory |2 msc | |
650 | 7 | |a Number theory |2 fast | |
650 | 7 | |a Number theory |x Diophantine approximation, transcendental number theory |2 msc | |
650 | 7 | |a Number theory |x Diophantine approximation, transcendental number theory |x Diophantine approximation, transcendental number theory |2 msc | |
650 | 7 | |a Number theory |x Elementary number theory |2 msc | |
650 | 7 | |a Number theory |x Elementary number theory |x Elementary number theory |2 msc | |
650 | 7 | |a Number theory |x Exponential sums and character sums |2 msc | |
650 | 7 | |a Number theory |x Exponential sums and character sums |x Exponential sums and character sums |2 msc | |
650 | 7 | |a Number theory |x Multiplicative number theory |2 msc | |
650 | 7 | |a Number theory |x Multiplicative number theory |x Multiplicative number theory |2 msc | |
650 | 7 | |a Number theory |x Probabilistic theory: distribution modulo $1$; metric theory of algorithms |2 msc | |
650 | 7 | |a Number theory |x Probabilistic theory: distribution modulo $1$; metric theory of algorithms |x Probabilistic theory: distribution modulo $1$; metric theory of algorithms |2 msc | |
650 | 7 | |a Number theory |x Research exposition (monographs, survey articles) |2 msc | |
650 | 7 | |a Number theory |x Zeta and $L$-functions: analytic theory |2 msc | |
650 | 7 | |a Number theory |x Zeta and $L$-functions: analytic theory |x Zeta and $L$-functions: analytic theory |2 msc | |
650 | 7 | |a Probabilistic number theory |2 fast | |
650 | 7 | |a Talteori |2 sa0 | |
700 | 1 | |a Ion, Patrick D. F., |e translator |0 http://viaf.org/viaf/56696997 | |
700 | 1 | |a Ion, Patrick D. F., |e translator |4 http://id.loc.gov/vocabulary/relators/trl | |
700 | 1 | |a Ion, Patrick D. F., |e translator | |
776 | 1 | |w (OCoLC)993592492 | |
830 | 0 | |a Graduate studies in mathematics ; |v v. 163 | |
830 | 0 | |a Graduate studies in mathematics |v v. 163 | |
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